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Finding the Fourth Proportional to 33,633.92, 50,449 and 10,258.52

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Solution

The fourth proportional to 33,633.92, 50,449 and 10,258.52 is: 15,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.92 : 50,449 = 10,258.52 : x
  2. Step 2: Convert to fraction form
    33,633.92/50,449 = 10,258.52/x
  3. Step 3: Cross multiply
    33,633.92x = 50,449 × 10,258.52
  4. Step 4: Simplify right side
    33,633.92x = 517,532,075.48
  5. Step 5: Solve for x
    x = 517,532,075.48/33,633.92
  6. Step 6: Final answer
    x = 15,387.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.